8-9 simplify square roots.notebook

8­9 simplify square roots.notebook
December 04, 2013
p.8
LT 1c: I can simplify square root expressions. How to Unit 5
Step 1: _________________________________________
simplify square Step 2: _________________________________________
roots
Perfect square cheat sheet
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
√ab = √ a √ b Product Property of Radicals
√ 20
√ 90
√45
5 18
√
Quotient Property of Radicals
√
6
9
√
7 x2
√
=
x2 =
80
√
√
CW
√a
a
=√
b
b
p.8 (1, 2, 3, 4, 5, 6)
P
=
300
100
=
p.8­9 (all)
For 1­6, simplify the square root expression.
1.
√ 32
2.
4.
√ 25x2
5.
√ 24
√
3. ­3 54
√
6.
13 100
8 x2
√
8­9 simplify square roots.notebook
December 04, 2013
p.9
8­9 simplify square roots.notebook
IF
Checking: p.7
Box 3
What is the area Estimate the side length of the of the square? square?
3 cm
December 04, 2013
A = 20
cm2
List 3 List 3 rational #'s. irrational #'s.
8­9 simplify square roots.notebook
1­4
8­9
5­7
December 04, 2013
3­4
8­9
7
8­9 simplify square roots.notebook
December 04, 2013
p.7 answers
Irrational
Rational
D, H, L, M, N, Q, U
K
­15
W
P I VG A
O
­10
­5
0
NQ
F E CJ
TR X
10
5
DH L
M U
1.
R
2. Irr
3.
Irr
4.
R
5.
R
6.
R
7.
Irr
8.
R
15
BS
8­9 simplify square roots.notebook
December 04, 2013
p.8
LT 1c: I can simplify square root expressions. Unit 5
How to Find biggest perfect square factor.
Step 1: _________________________________________
simplify square Step 2: _________________________________________
Simplify
roots
Perfect square cheat sheet
Product Property of Radicals
√ 20
√ab = √ a √ b √ 90
12 = 1
22 = 4
32 = 9
5 18
√
45
√
2
4 = 16
52 = 25
62 = 36
a
72 = 49
Quotient Property of Radicals
=
b
2
8 = 64
92 = 81
6
7 102 = 100
=
=
9
2
x
2
11 = 121
122 = 144
132 = 169
142 = 196
√
√
x2 =
80
√
√
√
300
100
=
√a
√b
8­9 simplify square roots.notebook
December 04, 2013
p.9
8­9 simplify square roots.notebook
December 04, 2013
CW p.8 (1,2,3,4,5,6)
P p.8­9 (all)
SHOW WORK!
1­3
4­6
8­9 simplify square roots.notebook
December 04, 2013
p.8­9 answers
She always talked about capsizes